HE Yuan-jun, YIN Li-zhong, MA Xing-rui, WANG Ben-li. SYNCHRONOUS HOPF BIFURCATION OF LIQUID NONLINEAR SLOSHING[J]. Engineering Mechanics, 2007, 24(7): 72-076.
Citation: HE Yuan-jun, YIN Li-zhong, MA Xing-rui, WANG Ben-li. SYNCHRONOUS HOPF BIFURCATION OF LIQUID NONLINEAR SLOSHING[J]. Engineering Mechanics, 2007, 24(7): 72-076.
shu

SYNCHRONOUS HOPF BIFURCATION OF LIQUID NONLINEAR SLOSHING

  • (1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China; 2. No.14 Research Institute China Academy of Launch Technology, Beijing 100076, China; 3. China Aerospace Science and Technology Corporation, Beijing 100830, China)

More Information
  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
    Abstract
  • Under pitching excitation, the Lagrange equation for nonlinear sloshing of liquid in circle cylindrical tank by variational principle in the form of volume integration of pressure is developed. Then the velocity potential function is expanded in series by wave height function at the free surface. The nonlinear equations with kinematical and dynamic free surface boundary conditions are derived. At last, these equations are solved by the fourth order Runge-Kutta method. Through numerical simulation, synchronous Hopf bifurcation of the primary and the secondary nonplanar sloshing modes is observed, and the region of frequency is given.
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]YAO Hao, CHENG Jin. ANALYTICAL METHOD FOR CALCULATING DEFECTION OF CORRUGATED BOX GIRDERS BASED ON VARIATIONAL PRINCIPLE[J]. Engineering Mechanics, 2016, 33(8): 177-184. DOI: 10.6052/j.issn.1000-4750.2015.06.0527
    [2]LI Wei-hua, LUO En. VARIATIONAL PRINCIPLES FOR NONLINEAR ELASTOSTATICS OF MEMBRANE STRUCTURES[J]. Engineering Mechanics, 2008, 25(3): 58-063.
    [3]CAO Guo-hui, . SHEAR LAG EFFECT OF CRACKED CONTINUOUSE BOX GIRDER ANALYSED BY VARIATIONAL PRINCIPLE[J]. Engineering Mechanics, 2007, 24(4).
    [4]LI Jin-hui, WANG Yuan, HU Qiang. THE RANDOM VARIATIONAL PRINCIPLE AND FINITE ELEMENT METHOD IN 3-D STEADY SEEPAGE[J]. Engineering Mechanics, 2006, 23(6): 21-24.
    [5]LONG Zhi-fei, CEN Song, LONG Yu-qiu, LUO Jian-hui. HAMILTONIAN VARIATIONAL PRINCIPLE WITH ARBITRARY PARAMETERS FOR THIN PLATES[J]. Engineering Mechanics, 2004, 21(4): 1-5.
    [6]CEN Song, LONG Zhi-fei, LUO Jian-hui, LONG Yu-qiu. HAMILTONIAN SOLUTION SYSTEM FOR THIN PLATES AND ITS VARIATIONAL PRINCIPLE[J]. Engineering Mechanics, 2004, 21(3): 1-5,30.
    [7]LUO Jian-hui, LIU Guang-dong, LONG Yu-qiu. A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES[J]. Engineering Mechanics, 2002, 19(5): 29-35.
    [8]LIU Tie-lin, LU He-xiang, ZHAO Jin-cheng. A NON-TIME-STEP-PARAMETER DIRECT INTEGRATION METHOD BY GURTIN VARIATIONAL PRINCIPLE[J]. Engineering Mechanics, 2000, 17(3): 43-48.
    [9]Zhou Jianfang, Zhuo Jianshou. VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION[J]. Engineering Mechanics, 1998, 15(1): 30-38.
    [10]Ma Liming, He Yu'ao. A SINGLE-STEP TIME ELEMENT METHOD FOR DYNAMIC RESPONSE BY GURTIN VARIATIONAL PRINCIPLE[J]. Engineering Mechanics, 1995, 12(1): 24-29.

Catalog

    WANG Ben-li

    • (1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China; 2. No.14 Research Institute China Academy of Launch Technology, Beijing 100076, China; 3. China Aerospace Science and Technology Corporation, Beijing 100830, China)

    1. On this Site
    2. On Google Scholar
    3. On PubMed
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1088) PDF downloads (409) Cited by()
    Turn off MathJax
    Article Contents
    Abstract
    Related Articles

    京ICP备18030614号

    Copyright © 《工程力学》编辑部

    Address: North-Star Times Tower, No.8 Beichendong Road, Chaoyang District, Beijing, China China Pos: 100084

    Tel: (010)62788648 Fax: 021-64253812 Email: gclxbjb@tsinghua.edu.cn

    Supported by: Beijing Renhe Information Technology Co.,Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return